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Finding the Fourth Proportional to 524.69, 724.09 and 288.64

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Solution

The fourth proportional to 524.69, 724.09 and 288.64 is: 398.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.69 : 724.09 = 288.64 : x
  2. Step 2: Convert to fraction form
    524.69/724.09 = 288.64/x
  3. Step 3: Cross multiply
    524.69x = 724.09 × 288.64
  4. Step 4: Simplify right side
    524.69x = 209,001.34
  5. Step 5: Solve for x
    x = 209,001.34/524.69
  6. Step 6: Final answer
    x = 398.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.